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Finding the Third Proportional to 77,434,392 and 168,524,400

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Solution

The third proportional to 77,434,392 and 168,524,400 is: 366,768,210.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,434,392 : 168,524,400 = 168,524,400 : x
  2. Step 2: Convert to fraction form
    77,434,392/168,524,400 = 168,524,400/x
  3. Step 3: Cross multiply
    77,434,392x = 168,524,400 × 168,524,400
  4. Step 4: Simplify right side
    77,434,392x = 28,400,473,395,360,000
  5. Step 5: Solve for x
    x = 28,400,473,395,360,000/77,434,392
  6. Step 6: Final answer
    x = 366,768,210.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.